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The geometric multiplicity of λ is its multiplicity as a root of the characteristic polynomial of A, where λ be the eigen value of A.

The geometric multiplicity of λ is its multiplicity as a root of the characteristic polynomial of A, where λ be the eigen value of A. Correct Answer False

The diagonalization theorem in terms of multiplicities of eigen values is defined as follows, The algebraic multiplicity of λ is its multiplicity as a root of the characteristic polynomial of A. The geometric multiplicity of λ is the dimension of the λ-eigenspace.

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